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12696283008 = 27333799289
BaseRepresentation
bin10111101001100000…
…11110011110000000
31012202211022000002000
423310300132132000
5202000222024013
65455501224000
7626424424233
oct136460363600
935684260060
1012696283008
1154257a2382
122563b62000
1312744a20c6
148862a941a
154e495b973
hex2f4c1e780

12696283008 has 128 divisors (see below), whose sum is σ = 38484804000. Its totient is φ = 4117671936.

The previous prime is 12696283003. The next prime is 12696283013. The reversal of 12696283008 is 80038269621.

12696283008 is a `hidden beast` number, since 12 + 6 + 9 + 628 + 3 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12696283003) and next prime (12696283013).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×126962830082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12696283003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78228 + ... + 177516.

Almost surely, 212696283008 is an apocalyptic number.

12696283008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12696283008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19242402000).

12696283008 is an abundant number, since it is smaller than the sum of its proper divisors (25788520992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12696283008 is an equidigital number, since it uses as much as digits as its factorization.

12696283008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99349 (or 99331 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12696283008 in words is "twelve billion, six hundred ninety-six million, two hundred eighty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 432 444 576 592 666 864 888 999 1152 1184 1332 1728 1776 1998 2368 2664 3456 3552 3996 4736 5328 7104 7992 10656 14208 15984 21312 31968 42624 63936 99289 127872 198578 297867 397156 595734 794312 893601 1191468 1588624 1787202 2382936 2680803 3177248 3574404 3673693 4765872 5361606 6354496 7148808 7347386 9531744 10723212 11021079 12708992 14297616 14694772 19063488 21446424 22042158 28595232 29389544 33063237 38126976 42892848 44084316 57190464 58779088 66126474 85785696 88168632 99189711 114380928 117558176 132252948 171571392 176337264 198379422 235116352 264505896 343142784 352674528 396758844 470232704 529011792 705349056 793517688 1058023584 1410698112 1587035376 2116047168 3174070752 4232094336 6348141504 12696283008